Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor.
Nikolay V. KuznetsovTimur N. MokaevP. A. VasilyevPublished in: Commun. Nonlinear Sci. Numer. Simul. (2014)
Keyphrases
- dynamical systems
- cellular automata
- control scheme
- stability analysis
- asymptotic stability
- neural network controller
- dynamic behavior
- fixed point
- numerical simulations
- nonlinear systems
- class of nonlinear systems
- closed loop
- sensitivity analysis
- neural network
- data sets
- numerical methods
- sufficient conditions
- linear matrix inequality
- chaotic systems
- finite difference
- arbitrary dimension
- multiple dimensions
- equilibrium point
- stability criterion
- real time