scholarly journals Hamilton geometry: Phase space geometry from modified dispersion relations

2015 ◽  
Vol 92 (8) ◽  
Author(s):  
Leonardo Barcaroli ◽  
Lukas K. Brunkhorst ◽  
Giulia Gubitosi ◽  
Niccoló Loret ◽  
Christian Pfeifer
Keyword(s):  
Phase Space ◽  
Dispersion Relations ◽  
Modified Dispersion Relations ◽  
Space Geometry ◽  
Phase Space Geometry

scholarly journals Hamilton geometry: Phase space geometry from modified dispersion relations

2017 ◽  
Author(s):  
Christian Pfeifer ◽  
Leonardo Barcaroli ◽  
Lukas K. Brunkhorst ◽  
Giulia Gubitosi ◽  
Niccolò Loret
Keyword(s):  
Phase Space ◽  
Dispersion Relations ◽  
Modified Dispersion Relations ◽  
Space Geometry ◽  
Phase Space Geometry

Phase space geometry of constrained systems

1995 ◽  
Vol 105 (3) ◽  
pp. 1539-1545 ◽  
Author(s):  
V. P. Pavlov ◽  
A. O. Starinetz
Keyword(s):  
Phase Space ◽  
Constrained Systems ◽  
Space Geometry ◽  
Phase Space Geometry

Phase space geometry and stochasticity thresholds in Hamiltonian dynamics

2000 ◽  
Vol 62 (5) ◽  
pp. 6078-6081 ◽  
Author(s):  
Monica Cerruti-Sola ◽  
Marco Pettini ◽  
E. G. D. Cohen
Keyword(s):  
Phase Space ◽  
Hamiltonian Dynamics ◽  
Space Geometry ◽  
Phase Space Geometry

Catastrophes with indeterminate outcome

1991 ◽  
Vol 432 (1884) ◽  
pp. 113-123 ◽  
Keyword(s):  
Dynamical System ◽  
Phase Space ◽  
Invariant Manifolds ◽  
Space Geometry ◽  
Dissipative Dynamical System ◽  
Forced Oscillators ◽  
Phase Space Geometry

A catastrophe in a dissipative dynamical system which causes an attractor to completely lose stability will result in a transient trajectory making a rapid jump in phase space to some other attractor. In systems where more than one other attractor is available, the attractor chosen may depend very sensitively on how the catastrophe is realized. Two examples in forced oscillators of Duffing type illustrate how the probabilities of different outcomes can be estimated using the phase space geometry of invariant manifolds.

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