Introduction to Applied Nonlinear Dynamical Systems and Chaos¶
Wiggins, S. (2003). Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer.
Cited by¶
1 citation across 1 artifact.
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Primes¶
- Attractor Selection and Basin Control
- It is not merely identifying multiple equilibria but understanding the basin structure—the sensitivity of the basin boundary to parameters, the energy cost of escaping a basin, the likelihood that perturbations will move the system across the boundary, a structural perspective Wiggins (2003) develops in his comprehensive treatment of nonlinear dynamics and chaos.
This sourceComprehensive dynamical-systems text developing basin structure, basin-boundary geometry, and stability analysis beyond mere equilibrium identification. SUPPORTS marker 050.
- It is not merely identifying multiple equilibria but understanding the basin structure—the sensitivity of the basin boundary to parameters, the energy cost of escaping a basin, the likelihood that perturbations will move the system across the boundary, a structural perspective Wiggins (2003) develops in his comprehensive treatment of nonlinear dynamics and chaos.
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