Time-dependent saddle-node bifurcation: Breaking time and the point of no return in a non-autonomous model of critical transitions.
暂无分享,去创建一个
[1] Stanca M. Ciupe,et al. Mathematical biology , 2021, Encyclopedia of Evolutionary Psychological Science.
[2] J. Sieber,et al. Early-warning indicators for rate-induced tipping. , 2015, Chaos.
[3] Lei Dai,et al. Relation between stability and resilience determines the performance of early warning signals under different environmental drivers , 2015, Proceedings of the National Academy of Sciences.
[4] Sebastian Wieczorek,et al. Parameter shifts for nonautonomous systems in low dimension: bifurcation- and rate-induced tipping , 2015, 1506.07734.
[5] Rachel Kuske,et al. Tipping Points Near a Delayed Saddle Node Bifurcation with Periodic Forcing , 2014, SIAM J. Appl. Dyn. Syst..
[6] É. Plagányi,et al. Ecosystem modelling provides clues to understanding ecological tipping points , 2014 .
[7] Peter A. Jones. At the tipping point for epigenetic therapies in cancer. , 2014, The Journal of clinical investigation.
[8] Hong Qian,et al. Stochastic phenotype transition of a single cell in an intermediate region of gene state switching. , 2013, Physical review letters.
[9] Y. Tu,et al. A framework towards understanding mesoscopic phenomena: Emergent unpredictability, symmetry breaking and dynamics across scales , 2013, 1310.5585.
[10] Ping Ao,et al. A Theory of Mesoscopic Phenomena: Time Scales, Emergent Unpredictability, Symmetry Breaking and Dynamics Across Different Levels , 2013 .
[11] Felix X.-F. Ye,et al. Evolution of recombination rates in a multi-locus, haploid-selection, symmetric-viability model. , 2013, Theoretical population biology.
[12] William A Catterall,et al. The Hodgkin-Huxley Heritage: From Channels to Circuits , 2012, The Journal of Neuroscience.
[13] José A. Langa,et al. Attractors for infinite-dimensional non-autonomous dynamical systems , 2012 .
[14] Sui Huang,et al. Tumor progression: chance and necessity in Darwinian and Lamarckian somatic (mutationless) evolution. , 2012, Progress in biophysics and molecular biology.
[15] Lei Dai,et al. Generic Indicators for Loss of Resilience Before a Tipping Point Leading to Population Collapse , 2012, Science.
[16] Andressa Ardiani,et al. The tipping point for combination therapy: cancer vaccines with radiation, chemotherapy, or targeted small molecule inhibitors. , 2012, Seminars in oncology.
[17] H. Qian. Cooperativity in cellular biochemical processes: noise-enhanced sensitivity, fluctuating enzyme, bistability with nonlinear feedback, and other mechanisms for sigmoidal responses. , 2012, Annual review of biophysics.
[18] Kazuyuki Aihara,et al. Detecting early-warning signals for sudden deterioration of complex diseases by dynamical network biomarkers , 2012, Scientific Reports.
[19] Peter E. Kloeden,et al. Nonautonomous Dynamical Systems , 2011 .
[20] Sui Huang,et al. Systems biology of stem cells: three useful perspectives to help overcome the paradigm of linear pathways , 2011, Philosophical Transactions of the Royal Society B: Biological Sciences.
[21] Peter Cox,et al. Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system , 2011, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[22] C. Kuehn. A mathematical framework for critical transitions: Bifurcations, fast–slow systems and stochastic dynamics , 2011, 1101.2899.
[23] S. Carpenter,et al. Early-warning signals for critical transitions , 2009, Nature.
[24] C. Kuehn. Scaling of saddle-node bifurcations: degeneracies and rapid quantitative changes , 2008, 0807.1546.
[25] M. Kot. Elements of Mathematical Ecology: Contents , 2001 .
[26] H. Qian. From discrete protein kinetics to continuous Brownian dynamics: A new perspective , 2001, Protein science : a publication of the Protein Society.
[27] Grégoire Nicolis,et al. Introduction to Nonlinear Science: References , 1995 .
[28] Roy,et al. Scaling laws for dynamical hysteresis in a multidimensional laser system. , 1995, Physical review letters.
[29] S. Strogatz. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering , 1995 .
[30] F. Capra,et al. The Turning Point: Science, Society and the Rising Culture , 1982 .
[31] Richard Haberman,et al. Slowly Varying Jump and Transition Phenomena Associated with Algebraic Bifurcation Problems , 1979 .
[32] S. Orszag,et al. Advanced Mathematical Methods For Scientists And Engineers , 1979 .
[33] Max J. Suarez,et al. Simple albedo feedback models of the icecaps , 1974 .
[34] Thomas C. Schelling,et al. Dynamic models of segregation , 1971 .
[35] Xiaoying Han,et al. Applied Nonautonomous and Random Dynamical Systems , 2016 .
[36] Peter E. Kloeden,et al. Nonautonomous Dynamical Systems in the Life Sciences , 2013 .
[37] F. Verhulst. Differential Equations and Dynamical Systems , 2012 .
[38] Ka Kit Tung,et al. Topics in mathematical modeling , 2007 .
[39] J. A. Kuznecov. Elements of applied bifurcation theory , 1998 .
[40] Thomas Erneux,et al. Jump transition due to a time‐dependent bifurcation parameter: An experimental, numerical, and analytical study of the bistable iodate–arsenous acid reaction , 1991 .
[41] Klaus Fraedrich,et al. Catastrophes and resilience of a zero‐dimensional climate system with ice‐albedo and greenhouse feedback , 1979 .