Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. Written by international experts, Nonlinear Dynamics and Chaos: Where Do We Go from Here? assesses what the future holds for dynamics and chaos. The chapters address one or more of the broad and interconnected main themes: neural and biological systems, spatially extended systems, and experimentation in the physical sciences. The contributors offer suggestions as to what they see as the way forward, often in the form of open questions for future research.…mehr
Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. Written by international experts, Nonlinear Dynamics and Chaos: Where Do We Go from Here? assesses what the future holds for dynamics and chaos. The chapters address one or more of the broad and interconnected main themes: neural and biological systems, spatially extended systems, and experimentation in the physical sciences. The contributors offer suggestions as to what they see as the way forward, often in the form of open questions for future research.
J Hogan, A.R Krauskopf, Mario di Bernado, Eddie R. Wilson, Hinke M. Osinga, Martin E. Homer, Alan R. Champneys
Inhaltsangabe
Preface. Bifurcation and Degenerate Decomposition in Multiple Time Scale Dynamical Systems. Many-body quantum mechanics. Unfolding Complexity: Hereditory Dynamical Systems-New Bifurcation Schemes and High Dimensional Chaos. Creating stability out of instability. Signal or Noise? A nonlinear dynamics approach to spatiotemporal communication. Outstanding problems in the theory of pattern formation. Is Chaos relevant to Fluid Mechanics?. Time-Reversed Acoustics and Chaos. Reduction methods applied to nonlocally coupled oscillator systems. A prime number of prime questions about vortex dynamcis in nonlinear media. Spontaneous pattern formation in primary visual cortex. Models for Pattern Formation in Development. Spatiotemporal nonlinear dynamics: a new beginning. Author index.
Preface. Bifurcation and Degenerate Decomposition in Multiple Time Scale Dynamical Systems. Many-body quantum mechanics. Unfolding Complexity: Hereditory Dynamical Systems-New Bifurcation Schemes and High Dimensional Chaos. Creating stability out of instability. Signal or Noise? A nonlinear dynamics approach to spatiotemporal communication. Outstanding problems in the theory of pattern formation. Is Chaos relevant to Fluid Mechanics?. Time-Reversed Acoustics and Chaos. Reduction methods applied to nonlocally coupled oscillator systems. A prime number of prime questions about vortex dynamcis in nonlinear media. Spontaneous pattern formation in primary visual cortex. Models for Pattern Formation in Development. Spatiotemporal nonlinear dynamics: a new beginning. Author index.
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