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Attractors of Strongly Dissipative Systems
"... A class of infinitedimensional dissipative dynamical systems is defined for which there exists a unique equilibrium point, and the rate of convergence to this point of the trajectories of a dynamical system from the above class is exponential. All the trajectories of the system converge to this p ..."
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A class of infinitedimensional dissipative dynamical systems is defined for which there exists a unique equilibrium point, and the rate of convergence to this point of the trajectories of a dynamical system from the above class is exponential. All the trajectories of the system converge
CANONICAL QUANTIZATION OF DISSIPATIVE SYSTEMS
"... The canonical method is invoked to quantize dissipative systems using the WKB approximation. The wave function is constructed such that its phase factor is simply Hamiltonâ€™s principal function. The energy eigenvalue is found to be in exact agreement with the classical case. To demonstrate our approa ..."
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The canonical method is invoked to quantize dissipative systems using the WKB approximation. The wave function is constructed such that its phase factor is simply Hamiltonâ€™s principal function. The energy eigenvalue is found to be in exact agreement with the classical case. To demonstrate our
Autoresonant germ in dissipative system
, 2009
"... We study an initial stage of autoresonant growth of a solution in a dissipative system. We construct an asymptotic formula of an autoresonant germ that is an attractor for autoresonant solutions. We present a moment of a fall and a maximum value of the amplitude for the germ. Numerical simulations a ..."
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We study an initial stage of autoresonant growth of a solution in a dissipative system. We construct an asymptotic formula of an autoresonant germ that is an attractor for autoresonant solutions. We present a moment of a fall and a maximum value of the amplitude for the germ. Numerical simulations
The Geometry and Control of Dissipative Systems
 In IEEE Conf. on Decision and Control, Kobe
, 1996
"... We regard the internal configuration of a deformable body, together with its position and orientation in ambient space, as a point in a trivial principal fiber bundle over the manifold of body deformations. In the presence of a symmetry which leads to a conservation law, the selfpropulsion of such a ..."
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Cited by 13 (2 self)
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locally in terms of the variables describing the body's shape. In the presence of both inertial and viscous effects, the equations of motion may be written in terms of the two local connection forms as an affine control system with drift on the manifold of configurations and body momenta. We apply
Dissipative systems: implications for geomorphology
 Earth Surface Processes and Landforms
, 1988
"... All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. ..."
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Cited by 8 (1 self)
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All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.
Quantum Control of Dissipative Systems
"... We study the e#ect of dissipation, i.e., uncontrollable interactions of a quantum system with the environment, on one's ability to control the system. In particular we show that dissipation, although often considered undesirable, opens up unique possibilities for quantum control by removing ..."
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We study the e#ect of dissipation, i.e., uncontrollable interactions of a quantum system with the environment, on one's ability to control the system. In particular we show that dissipation, although often considered undesirable, opens up unique possibilities for quantum control by removing
STATISTICS OF COMPLEX DISSIPATIVE SYSTEMS
, 2003
"... A quantum statistical random system with energy dissipation is studied. Its statistics is governed by random complexvalued nonHermitean Hamiltonians belonging to complex Ginibre ensemble of random matrices. The eigenenergies of Hamiltonians are shown to form stable structure. Analogy of Wigner and ..."
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A quantum statistical random system with energy dissipation is studied. Its statistics is governed by random complexvalued nonHermitean Hamiltonians belonging to complex Ginibre ensemble of random matrices. The eigenenergies of Hamiltonians are shown to form stable structure. Analogy of Wigner
Classical brackets for dissipative systems
, 2003
"... We show how to write a set of brackets for the Langevin equation, describing the dissipative motion of a classical particle, subject to external random forces. The method does not rely on an action principle, and is based solely on the phenomenological description of the dissipative dynamics as give ..."
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We show how to write a set of brackets for the Langevin equation, describing the dissipative motion of a classical particle, subject to external random forces. The method does not rely on an action principle, and is based solely on the phenomenological description of the dissipative dynamics
TORI IN DISSIPATIVE SYSTEMS
, 1992
"... PACS number: 05.45.+b The transition from quasiperiodicity to chaos is studied in a twodimensional dissipative map with the inverse golden mean rotation number. On the basis of a decimation scheme, it is argued that the (minimal) slope of the critical iterated circle map is proportional to the effe ..."
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PACS number: 05.45.+b The transition from quasiperiodicity to chaos is studied in a twodimensional dissipative map with the inverse golden mean rotation number. On the basis of a decimation scheme, it is argued that the (minimal) slope of the critical iterated circle map is proportional
PATH INTEGRAL QUANTIZATION OF DISSIPATIVE SYSTEMS
"... This paper investigated the basic formalism for treating the dissipative Hamiltonian systems within the framework of the canonical method using the path integral quantization. The Hamiltonian treatment of the dissipative systems leads to obtain the equations of motion as a total differential equatio ..."
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This paper investigated the basic formalism for treating the dissipative Hamiltonian systems within the framework of the canonical method using the path integral quantization. The Hamiltonian treatment of the dissipative systems leads to obtain the equations of motion as a total differential
Results 1  10
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