Physica A: Statistical Mechanics and its Applications
Volume 232, Issues 1–2, 15 October 1996, Pages 458-476
Statistical treatment of autonomous systems with divergencelless flows
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A Fokker-Planck approach to canonical-dissipative Nambu systems: With an application to human motor control during dynamic haptic perception
2010, Physics Letters, Section A: General, Atomic and Solid State PhysicsCitation Excerpt :Therefore, the goal of the present study is to discuss Nambu mechanics in the context of the full spectrum of the canonical-dissipative perspective of life sciences which considers not only deterministic aspects but addresses also the role of fluctuations. Previous accounts of such fluctuations have focused on appropriate couplings between Nambu systems and thermostats [43,44]. In contrast, fluctuations of canonical-dissipative non-equilibrium systems have typically been investigated by means of Markov diffusion processes [16–20] and nonlinear Markov diffusion processes [21,45–47].
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