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Forward and Adjoint Sensitivity Computation of Chaotic Dynamical Systems
Sensitivity analysis linear response adjoint equation unsteady adjoint chaos statistical average
2012/2/29
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...
Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems
Higher-order systems Lagrangian and Hamiltonian formalisms Symplectic and presymplectic manifolds
2011/7/26
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...
Multicanonical Sampling of Rare Trajectories in Chaotic Dynamical Systems
Rare Trajectories Chaotic Dynamical Systems
2010/4/2
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...
About the oscillatory possibilities of the dynamical systems
dynamical systems evolutionary emergence
2010/4/7
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...
Numerical detection of unstable periodic orbits in continuous-time dynamical systems with chaotic behaviors
Numerical detection unstable periodic orbits continuous-time dynamical systems chaotic behaviors
2009/11/3
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...
A Scaling Property in the Non-stationary Dissipative Dynamical Systems
scaling law non-stationary systems the logistic map
2007/8/15
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 ...
Lie Symmetry and Conserved Quantities for Nonholonomic Vacco Dynamical Systems
Vacco dynamical system Lie symmetry general Hojman
conserved quantity Lutzky conserved quantity
2007/8/15
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...