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This paper describes a forward algorithm and an adjoint algorithm for computing sensitivity derivatives in chaotic dynamical systems, such as the Lorenz attractor. The algorithms compute the derivativ...
Abstract: The Lagrangian-Hamiltonian unified formalism of R. Skinner and R. Rusk was originally stated for autonomous dynamical systems in classical mechanics. It has been generalized for non-autonomo...
In chaotic dynamical systems, a number of rare trajectories with low level of chaoticity are embedded in chaotic sea, while extraordinary unstable trajectories can exist even in weakly chaotic regions...
This paper attempts to make feasible the evolutionary emergence of novelty in a supposedly deterministic world which behavior is associated with those of the mathematical dynamical systems. It contain...
An infinite number of unstable periodic orbits (UPOs) are embedded in a chaotic system which models some complex phenomenon. Several algorithms which extract UPOs numerically from continuous-time chao...
2001Vol.35No.2pp.151-152DOI: A Scaling Property in the Non-stationary Dissipative Dynamical Systems FANG Hai-Ping Research Center for Theoretical Physics and Department ...
2006Vol.46No.2pp.265-268DOI: Lie Symmetry and Conserved Quantities for Nonholonomic Vacco Dynamical Systems DING Ning and FANG Jian-Hui College of Physics and Technology...

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