| Description |
1 online resource (290 pages) |
| Series |
Contemporary Mathematics Ser. ; v. 172 |
|
Contemporary Mathematics Ser
|
| Contents |
Intro; Table of Contents; Preface; Numerical Dynamics; Error Backward; Modified Equations for ODEs; The Dynamics of Some Iterative Implicit Schemes; Shadowing of Lattice Maps; Periodic Shadowing; On Well-Posed Problems for Connecting Orbits in Dynamical Systems; Numerical Computation of a Branch of Invariant Circles starting at a Hopf Bifurcation Point; Numerics of Invariant Manifolds and Attractors; Interval Stochastic Matrices and Simulation of Chaotic Dynamics; Mathematical and Numerical Analysis of a Mean-Field Equation for the Ising Model with Glauber Dynamics |
|
Attractors for Weakly Coupled Map LatticesEffective Chaos in the Nonlinear SchrÃœdinger Equation; Discretisation Effect on a Dynamical System with Discontinuity |
| Summary |
Much of what is known about specific dynamical systems is obtained from numerical experiments. Although the discretization process usually has no significant effect on the results for simple, well-behaved dynamics, acute sensitivity to changes in initial conditions is a hallmark of chaotic behavior. How confident can one be that the numerical dynamics reflects that of the original system? Do numerically calculated trajectories always shadow a true one? What role does numerical analysis play in the study of dynamical systems? And conversely, can advances in dynamical systems provide new insight |
| Notes |
Print version record |
| Subject |
Differentiable dynamical systems -- Congresses
|
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Numerical analysis -- Congresses
|
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Chaotic behavior in systems -- Congresses
|
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Chaotic behavior in systems
|
|
Differentiable dynamical systems
|
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Numerical analysis
|
| Genre/Form |
Conference papers and proceedings
|
| Form |
Electronic book
|
| Author |
Palmer, Kenneth J
|
| ISBN |
9780821877630 |
|
0821877631 |
|
