Kooperativer Bibliotheksverbund

UID:

Format: XVI, 408 p. 247 illus., 144 illus. in color. , online resource.

Edition: 1st ed. 2022.

ISBN: 9783030983963

Series Statement: Springer Series in Synergetics,

Content: This book starts with an introduction to the basic concepts of multistability, then illustrates how multistability arises in different systems and explains the main mechanisms of multistability emergence. A special attention is given to noise which can convert a multistable deterministic system to a monostable stochastic one. Furthermore, the most important applications of multistability in different areas of science, engineering and technology are given attention throughout the book, including electronic circuits, lasers, secure communication, and human perception. The book aims to provide a first approach to multistability for readers, who are interested in understanding its fundamental concepts and applications in several fields. This book will be useful not only to researchers and engineers focusing on interdisciplinary studies, but also to graduate students and technicians. Both theoreticians and experimentalists will rely on it, in fields ranging from mathematics and laser physics to neuroscience and astronomy. The book is intended to fill a gap in the literature, to stimulate new discussions and bring some fundamental issues to a deeper level of understanding of the mechanisms underlying self-organization of matter and world complexity.

Note: What Is Multistability -- Emergence of Multistability -- Manifestation of Multistability in Different Systems -- Multistability in Lasers -- Multistate Intermittency -- Multistability in Complex Networks -- Extreme Multistability -- Multistability in Perception -- Concluding Remarks.

In: Springer Nature eBook

Additional Edition: Printed edition: ISBN 9783030983956

Additional Edition: Printed edition: ISBN 9783030983970

Additional Edition: Printed edition: ISBN 9783030983987

Language: English

DOI: 10.1007/978-3-030-98396-3

URL: https://doi.org/10.1007/978-3-030-98396-3

URL: Volltext  (URL des Erstveröffentlichers)

UID:

Format: 1 Online-Ressource (xvi, 408 Seiten) , Illustrationen, Diagramme

ISBN: 9783030983963

Series Statement: Springer series in synergetics

Content: What Is Multistability -- Emergence of Multistability -- Manifestation of Multistability in Different Systems -- Multistability in Lasers -- Multistate Intermittency -- Multistability in Complex Networks -- Extreme Multistability -- Multistability in Perception -- Concluding Remarks.

Content: This book starts with an introduction to the basic concepts of multistability, then illustrates how multistability arises in different systems and explains the main mechanisms of multistability emergence. A special attention is given to noise which can convert a multistable deterministic system to a monostable stochastic one. Furthermore, the most important applications of multistability in different areas of science, engineering and technology are given attention throughout the book, including electronic circuits, lasers, secure communication, and human perception. The book aims to provide a first approach to multistability for readers, who are interested in understanding its fundamental concepts and applications in several fields. This book will be useful not only to researchers and engineers focusing on interdisciplinary studies, but also to graduate students and technicians. Both theoreticians and experimentalists will rely on it, in fields ranging from mathematics and laser physics to neuroscience and astronomy. The book is intended to fill a gap in the literature, to stimulate new discussions and bring some fundamental issues to a deeper level of understanding of the mechanisms underlying self-organization of matter and world complexity.

Additional Edition: ISBN 9783030983956

Additional Edition: ISBN 9783030983987

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783030983956

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783030983970

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783030983987

Language: English

DOI: 10.1007/978-3-030-98396-3

URL: lizenzpflichtig

Author information: Hramov, Alexander E. 1974-

UID:

Format: 1 online resource (417 pages)

ISBN: 3-030-98396-X

Series Statement: Springer Series in Synergetics

Note: Intro -- Preface -- References -- Acknowledgements -- Contents -- 1 What is Multistability -- 1.1 Historical Overview -- 1.2 Mathematical Basis -- 1.2.1 Main Definitions -- 1.2.2 Attractors and Basins of Attraction -- 1.2.3 Smooth and Fractal Basins -- 1.2.4 Wada Basins -- 1.2.5 Riddled Basins -- 1.3 Stability of Invariant Sets -- 1.3.1 Lyapunov Stability -- 1.3.2 Asymptotic Stability -- 1.3.3 Exponential Stability -- 1.3.4 Orbital Stability -- 1.3.5 Structural Stability -- 1.3.6 Linear Stability Analysis -- 1.4 Basin Stability -- 1.4.1 Resilience -- 1.4.2 Integral Stability -- 1.4.3 Final State Sensitivity -- 1.4.4 Survivability -- 1.4.5 Basin Catastrophe -- 1.4.6 Basin Integrity -- 1.5 System Complexity -- 1.5.1 Basin Entropy -- 1.5.2 Spectral Entropy -- 1.5.3 Sample Entropy -- References -- 2 Emergence of Multistability -- 2.1 Bifurcations Giving Rise to Multistability -- 2.1.1 Pitchfork Bifurcation -- 2.1.2 Saddle-Node Bifurcation -- 2.1.3 Andronov-Hopf Bifurcation -- 2.1.4 Neimark-Sacker Bifurcation -- 2.1.5 Multiple Limit Cycle Bifurcation -- 2.1.6 Infinite-Period Bifurcation -- 2.1.7 Inverse Gluing Bifurcation -- 2.1.8 Symmetry-Increasing Bifurcation -- 2.2 Mechanisms Leading to Multistability -- 2.2.1 Homoclinic Tangencies -- 2.2.2 Weak Dissipation -- 2.2.3 Clustering -- 2.2.4 Phase Multistability -- 2.2.5 Positive Feedback -- 2.2.6 Delayed Feedback -- 2.2.7 Periodic Forcing -- 2.2.8 Symmetry -- 2.2.9 Structural Multistability -- 2.3 Methods to Reveal Multistability -- 2.3.1 Varying Initial Conditions -- 2.3.2 Continuation Method -- 2.3.3 External Short Pulse -- 2.3.4 Stochastic Perturbation -- 2.3.5 Critical Velocity Surfaces -- 2.3.6 Complete Bifurcation Group -- 2.3.7 Quantifying Basins of Attraction -- 2.4 Methods for Detecting Hidden Attractors -- 2.4.1 Homotopy and Continuation Methods -- 2.4.2 Amplitude Control. , 2.4.3 Offset Boosting -- 2.4.4 Nested Double-Scroll Attractors -- 2.4.5 Final-State Machine -- References -- 3 Manifestation of Multistability in Different Systems -- 3.1 Multistability in Discrete Systems -- 3.1.1 Hénon Map -- 3.1.2 Dissipative Standard Nontwist Map -- 3.2 Multistability in Continuous Systems -- 3.2.1 Duffing Oscillator -- 3.2.2 Rössler-Like Oscillator -- 3.2.3 Lorenz-Like System -- 3.2.4 Chua Oscillator -- 3.2.5 Jerk Systems -- 3.2.6 Fractional-Order systems -- 3.3 Multistability in Coupled Systems -- 3.3.1 Coupled Quadratic Maps -- 3.3.2 Coupled Hénon Maps -- 3.3.3 Coupled Duffing Oscillators -- 3.3.4 Coupled Rössler Oscillators -- 3.3.5 Coupled Lorenz Oscillators -- 3.4 Multistability in Neuronal Systems -- 3.4.1 Single Neuron -- 3.4.2 Coupled Neurons -- 3.5 Other Examples of Multistable Systems -- 3.5.1 Mechanical Systems -- 3.5.2 Micro- and Nanosystems -- 3.5.3 Thermochemical Systems -- 3.5.4 Climate -- 3.5.5 Ecology -- 3.5.6 Biosystems -- 3.5.7 Astrosystems -- References -- 4 Multistability in Lasers -- 4.1 Laser as a Nonlinear Dynamical System -- 4.1.1 History of Laser Dynamics -- 4.1.2 Dynamical Classification of Lasers -- 4.2 Multistability in Optical Systems -- 4.2.1 Optical Bistability -- 4.2.2 Spatial Multistability -- 4.2.3 Polarization Multistability -- 4.3 Multistability in CO2 Lasers -- 4.3.1 Loss-Modulated CO2 Laser -- 4.3.2 Targeting Attractors by Short Pulses -- 4.3.3 Bistability Induced by Resonant Perturbations -- 4.3.4 Bistability Induced by a Delayed Feedback -- 4.4 Multistability in Semiconductor Lasers -- 4.4.1 Semiconductor Laser with Delayed Feedback -- 4.4.2 Directly Modulated Semiconductor Laser -- 4.5 Multistability in Fiber Lasers -- 4.5.1 Loss-Modulated Fiber Laser -- 4.5.2 Pump-Modulated Fiber Laser -- References -- 5 Multistate Intermittency -- 5.1 Noise-Induced Escapes from Equilibria. , 5.1.1 Multiple Quasipotential -- 5.1.2 Escape From a Fixed Point with Smooth Basin Boundaries -- 5.1.3 Escape From a Chaotic Attractor with a Fractal Basin Boundary -- 5.2 Coherence Resonance in Multistable Systems -- 5.2.1 Stochastic Resonance in Multistable Systems -- 5.2.2 Deterministic Coherence Resonance in a Chaotic Bistable System -- 5.2.3 Logical Stochastic Resonance -- 5.3 Characterization of Noise-Induced Multistate Intermittency -- 5.3.1 Mean Residence Times -- 5.3.2 Structural Properties of Noise-Induced Multistate Intermittency -- 5.3.3 Entropy Measures of Multistate Intermittency -- 5.3.4 Wavelet Transform Method for Detection of Coexisting Regimes -- 5.4 Manifestation of Noise-Induced Multistate Intermittency -- 5.4.1 Stochastic Bistable Chua System -- 5.4.2 Anti-coherence Resonance in a Bistable Neural Network -- 5.4.3 Multistate Intermittency in Semiconductor Lasers -- 5.5 Noise-Induced Preference of Attractors -- 5.5.1 Attractor Probability Density and Optimal Basin Size -- 5.5.2 Experimental Evidence of Noise-Induced Preference of Attractors -- 5.5.3 Extreme Events in Multistable Systems -- 5.5.4 Preference of Attractors in a Network of Coupled Oscillators -- 5.6 Multistate Intermittency in Deterministic Systems -- 5.6.1 Multistate Intermittency Induced by Periodic Forcing -- 5.6.2 Modulational Intermittency in a Semiconductor Laser -- References -- 6 Multistability in Complex Networks -- 6.1 Stability of Multistable Complex Networks -- 6.1.1 Single-Node Basin Stability -- 6.1.2 Multiple-Node Basin Stability -- 6.1.3 Resilience of Multistable Networks -- 6.1.4 Minimal Fatal Shock -- 6.1.5 Master Stability Function of Multistable Systems -- 6.2 Manifestation of Multistability in Different Networks -- 6.2.1 Network of Networks of Kuramoto Oscillators -- 6.2.2 Potential Landscape of a Network of Networks. , 6.2.3 Ring-Coupled Oscillators -- 6.2.4 Structural Multistability in Boolean Networks -- 6.2.5 Multistate Chimeras -- 6.3 Multistability in Neural Networks -- 6.3.1 Multistability in Small Neural Circuits -- 6.3.2 Spatial Phase Multistability -- 6.3.3 Multistability in Inhibitory Neural Networks -- 6.3.4 Multistability in Artificial Neural Networks -- 6.3.5 Functional Connectivity in Neural Networks -- References -- 7 Extreme Multistability -- 7.1 Extreme Multistability in Continuous-Time Systems -- 7.1.1 Game Dynamical Systems -- 7.1.2 Hamiltonian-Driven Dissipative Systems -- 7.1.3 Complex-Coupled Systems -- 7.1.4 Variable-Boostable Systems -- 7.1.5 Systems with Hyperbolic Cosine Nonlinearity -- 7.1.6 Systems with Time-Periodic Forcing -- 7.2 Extreme Multistability in Discrete-Time Systems -- 7.2.1 Two-Dimensional Chaotic Map -- 7.2.2 Area-Preserving Lozi Map -- 7.3 Extreme Multistability in Memristive Systems -- 7.3.1 Charge-Controlled Memristive Model -- 7.3.2 Flux-Controlled Memristive Model -- 7.4 Application of Extreme Multistability in Cryptography and Secure Communication -- 7.4.1 Chaotic Cryptography Based on Extreme Multistability -- 7.4.2 Secure Communication Based on Extreme Multistability -- References -- 8 Multistability in Perception -- 8.1 Multistability in Different Sensory Modalities -- 8.1.1 Perceptual Decision-Making -- 8.1.2 Visual Perception -- 8.1.3 Auditory Perception -- 8.1.4 Tactile Perception -- 8.1.5 Olfactory Perception -- 8.2 Bistable Perception Models -- 8.2.1 Brain Noise Estimation -- 8.2.2 Simple Energy Model -- 8.2.3 Fokker-Plank Equation Attractor Model -- 8.2.4 Oscillatory Model -- 8.2.5 Advanced Perception Model with Adaptation and Noise -- 8.3 Physiological Experiments with Ambiguous Stimuli -- 8.3.1 Behavioral Experiment with Ambiguous Stimuli for Brain Noise Estimation -- 8.3.2 EEG Experiments. , 8.3.3 MEG Experiments -- 8.4 Artificial Intelligence for Classification of Multistable Perceptual States -- 8.4.1 Recognition and Classification of Multistable Brain States Using Artificial Neuronal Networks -- 8.4.2 Detecting Human Uncertainty in Perception of Bistable Visual Stimuli Using Artificial Neural Networks -- 8.5 Brain-Computer Interfaces Based on Bistable Perception -- 8.5.1 Brain-Computer Interface for Monitoring and Controlling Alertness -- 8.5.2 Brain-to-Brain Interface for Enhancing Human Performance by Sharing Cognitive Load -- References -- 9 Concluding Remarks -- References -- Index.

Additional Edition: Print version: Pisarchik, Alexander N. Multistability in Physical and Living Systems Cham : Springer International Publishing AG,c2022 ISBN 9783030983956

Language: English