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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 02/2009, Volume 367, Issue 1888, pp. 529 - 544
Journal Article
SIAM Review, ISSN 0036-1445, 2018, Volume 60, Issue 4, pp. 969 - 1009
.... It can arise from an external forcing or due to random dynamics internal to the system. It is well established that even weak noise can result in large behavioral changes such as transitions between or escapes from quasi-stable states... 
Escape | Mode-locked lasers | Rare events | Mean exit time | Extinction | Noise-induced transitions | Bit error ratios | Optimal path | Stochasticity | Large deviation theory | Dynamical systems | Epidemiology | MATHEMATICS, APPLIED | large deviation theory | mode-locked lasers | LIMIT-THEOREM | NONLINEAR SCHRODINGER-EQUATION | SIMULATION | optimal path | SPACE | dynamical systems | epidemiology | PHASE | extinction | EVOLUTION | bit error ratios | FLUCTUATIONS | stochasticity | OPTIMAL PATHS | escape | mean exit time | noise-induced transitions | rare events
Journal Article
中国海洋湖沼学报:英文版, ISSN 0254-4059, 2013, Volume 31, Issue 5, pp. 1153 - 1161
... in the region are important for the transition from LM to straight path. Furthermore, we investigated the transition processes caused by the optimal precursor, and found that these processes could be divided into three stages... 
过渡过程 | 平衡测试 | 直线 | 路径优化 | 大河 | 涡度平流 | 前体 | 黑潮 | precursor | Earth Sciences | Oceanography | Kuroshio large meander (LM) | conditional nonlinear optimal perturbation (CNOP) | SYSTEM | CIRCULATION | SENSITIVITY | NONLINEAR OPTIMAL PERTURBATION | RANGE PREDICTION EXPERIMENTS | MODEL | FORECAST | VARIABILITIES SOUTH | PREDICTABILITY | OCEANOGRAPHY | JAPAN | LIMNOLOGY | Cyclones | Atmospheric sciences | Physical oceanography | Ocean currents
Journal Article
The International Journal of Advanced Manufacturing Technology, ISSN 0268-3768, 3/2018, Volume 95, Issue 1, pp. 875 - 888
Journal Article
International Journal of Advanced Manufacturing Technology, ISSN 0268-3768, 2018, Volume 99, Issue 1-4, pp. 169 - 179
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 07/2013, Volume 255, pp. 22 - 30
...). In particular, we compute the most probable transition path of stochastic equations by minimizing the effective action in a corresponding deterministic Hamiltonian system... 
Optimal paths | Stochastic differential equations | Transition-path theory | Stochastic dynamical systems | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | TIME | DRIVEN | PHYSICS, MATHEMATICAL | MODELS | LAGRANGIAN COHERENT STRUCTURES | EPIDEMICS | FLOWS | EXTINCTION | Mathematics - Dynamical Systems
Journal Article
Physics Letters A, ISSN 0375-9601, 2006, Volume 353, Issue 4, pp. 281 - 290
The most probable transition path in a one-dimensional overdamped system is rigorously proved to possess less than two turning points... 
BROWNIAN-MOTION | WEAK NOISE | PHYSICS, MULTIDISCIPLINARY | PREHISTORY PROBABILITY DENSITY | LARGE FLUCTUATIONS | NONSTATIONARY OPTIMAL PATHS | MULTISTABLE STOCHASTIC-SYSTEMS | TAILS | Physics - Statistical Mechanics
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 03/2012, Volume 85, Issue 3, p. 031103
.... In two and three dimensions, we find numerical evidence for a strongly discontinuous transition... 
GRAPH | UNIVERSALITY | NUMBER | PHYSICS, FLUIDS & PLASMAS | ALGORITHM | EXPLOSIVE PERCOLATION | FRACTAL DIMENSION | OPTIMAL PATHS | PHYSICS, MATHEMATICAL | Models, Molecular | Models, Chemical | Computer Simulation | Crystallization - methods
Journal Article
The Economic Journal, ISSN 0013-0133, 03/2015, Volume 125, Issue 583, pp. 574 - 620
‘To slow or not to slow’ (Nordhaus, 1991) was the first economic appraisal of greenhouse gas emissions abatement and founded a large literature on a topic of... 
CONTROLLING GREENHOUSE GASES | OPTIMAL TRANSITION PATH | CHANGE POLICY | TARGETS | ECONOMICS | ECONOMIC-GROWTH | SCIENCE | EQUITY | DICE MODEL | ETHICS | Air quality management | Emissions (Pollution) | Air pollution
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 11/2008, Volume 78, Issue 5, p. 051109
We explore the distribution of paths followed in fluctuation-induced switching between coexisting stable states... 
PHYSICS, FLUIDS & PLASMAS | DYNAMICS | PREHISTORY PROBABILITY DENSITY | LARGE FLUCTUATIONS | NONSTATIONARY OPTIMAL PATHS | NOISE | DRIVEN | TRANSITIONS | SIMULATION | PHYSICS, MATHEMATICAL | TAILS | ESCAPE
Journal Article
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, ISSN 1024-7696, 2014, Volume 74, Issue 1, pp. 14 - 22
Journal Article
Journal of Chemical Physics, ISSN 0021-9606, 01/2010, Volume 132, Issue 1, pp. 014504 - 014504-11
.... Possible transition paths are restricted to a thin tube surrounding the most probable trajectory... 
STATES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | LARGE FLUCTUATIONS | WKB TREATMENT | DISTRIBUTIONS | SPECTROSCOPY | noise | SYSTEMS | phase transformations | DIFFUSION | OPTIMAL PATHS | stochastic processes | EXIT PROBLEM | WATER | Physics - Statistical Mechanics
Journal Article
Physics of Fluids, ISSN 1070-6631, 10/2004, Volume 16, Issue 10, pp. 3515 - 3529
Two possible initial paths of transition to turbulence in simple wall-bounded shear flows are examined by looking at the development in space of infinitesimal disturbances. The first is the—by-now-classical... 
OPTIMAL DISTURBANCES | SPATIAL THEORY | BOUNDARY-LAYER | MECHANICS | VORTICES | RECEPTIVITY | PHYSICS, FLUIDS & PLASMAS | STABILITY | NUMBER-INDEPENDENT INSTABILITY | OPTIMAL PERTURBATIONS
Journal Article