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Workshop on Dynamics and integrability of nonholonomic and other non-Hamiltonian systems
Workshop Dynamics and integrability of nonholonomic and other non-Hamiltonian systems
2017/12/20
In recent years there has been a growing interest towards the integrability of systems which, though not Hamiltonian, retain some link to—or common origin with—Hamiltonian systems. One such field is t...
Existence of solutions for a higher order non-local equation appearing in crack dynamics
Hydraulic fractures Higher order equation Non-local equation Thin film equation Non-negative solutions periodic Hilbert transform
2015/10/15
In this paper, we prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the modeling of hydraulic fractures. The equation is similar to th...
Dynamics of the dominant Hamiltonian,with applications to Arnold diffusion
dominant Hamiltonian Arnold diffusion
2015/9/25
It is well know that instabilities of nearly integrable Hamiltonian systems occur around resonances. Dynamics near resonances of these systems is wellapproximated by the associated averaged system, ca...
Hopf Bifurcations in Two-Player Delayed Replicator Dynamics
Hopf Bifurcations Two-Player Delayed Replicator Dynamics
2015/8/26
We investigate the dynamics of two-strategy replicator equa-tions in which competition between strategies is delayed by a given time interval T. Taking T as a bifurcation parameter, we demonstrate the...
Hopf Bifurcations in Delayed Rock–Paper–Scissors Replicator Dynamics
Replicator Delay Hopf bifurcation Limit cycle Lindstedt
2015/8/26
We investigate the dynamics of three-strategy (rock–paper–scissors) replicator equations in which the fitness of each strategy is a function of the population frequencies delayed by a time interval T....
Hylomorphic solitons and their dynamics.
The Dynamics of Twisted Tent Maps
twisted tent map complex dynamical system dynamics fractal coded-coloring escape-time fold folding reflect filled-in Julia set twisted tent map TTM complex plane polygon
2015/1/19
This paper is a study of the dynamics of a new family of maps from the complex plane to itself, which we call twisted tent maps. A twisted tent map is a complex generalization of a real tent map. The ...
Mathematical Models of Basal Ganglia Dynamics
Basal Ganglia Bistability delayed feedback deep brain stimulation Dopaminergic neuron Parkinson's disease Tremor
2015/1/19
Physical and biological phenomena that involve oscillations on multiple time scales attract attention of mathematicians because resulting equations include a small parameter that allows for decomposin...
Efficient implementation of smo othed particle hydro dynamics (SPH) with plane sweep algorithm
Smoothed particle hydrodynamics Meshfree method Neighbour search Plane sweep algorithm Morton code Segment tree Quadtree Parallelization Dam break
2014/10/10
Neighbour search (NS) is the core of any implementations of smoothed particle hydrodynamics (SPH). In this paper, we present an efficient O( N log N) neighbour search method based on the plane sweep (...
Periodically driven dynamics of a particle moving in the field of Coulomb plus confining potential
Periodically driven dynamics Coulomb plus confining potential
2011/7/7
Periodically driven dynamics of a particle moving in the field Coulomb plus confining potential is treated for one and three dimensional cases. Critical value of the external field strength at which c...
Global dynamics above the ground state energy for the one-dimensional NLKG equation
Global dynamics ground state energy the one-dimensional NLKG equation
2010/11/12
In this paper we obtain a global characterization of the dynamics of even solutions to the one-dimensional nonlinear Klein-Gordon (NLKG) equation on the line with focusing nonlinearity |u|^{p-1}u, p>5...
An algorithm for extracting the integrable part (backward or/and forward) of an implicit difference equation is formulated. We prove that Discrete Lagrangian dynamics on Lie groupoids may be describe...
Let M be a closed orientable irreducible 3-manifold, and let f be a diffeomorphism over M. We call an embedded 2-torus T an Anosov torus if it is invariant and the induced action of f over \pi_1(T) i...
Beyond pressureless gas dynamics : Quadrature-based velocity moment models
gas dynamics Quadrature-based velocity moment models
2010/11/19
Following the seminal work of F. Bouchut on zero pressure gas dynamics which has been extensively used for gas particle-flows, the present contribution investigates quadrature-based velocity moments ...
Stabilizing the chaotic dynamics of the LÄu system
controlling chaos linear feedback control
2009/1/7
The chaotic dynamics of the LÄu system introduced in [5] is
stabilized. First, we suppress the chaos stabilizing the dynamics of the
system to the unstable equilibria. Then, using a simple line...