L. E. Reichl is Professor of Physics at the University of Texas at Austin. W. C. Schieve is Professor Emeritus of Physics at the University of Texas inatAustin.

• Preface List of Authors Section A. Theory of Bifurcation Phenomena in Chemical Systems Bifurcation Analysis of Reaction-Diffusion Equations IV. Size Dependence (Giles Auchmuty) The Influence of Static External Fields on Far-from-Equilibrium Chemical Systems (D. K. Kondepudi) Topological Aspects of Oscillating Chemical Reactions (R. Bruce King) Numerical Exploration of Bifurcating Branches of Solutions to Reaction-Diffusion Equations from Immobilized Enzyme Kinetics (B. Bunow and J. P. Kernevez) Section B. Experimental Properties of Chemical Systems The Ferroin Catalyzed Zhabotinskii System-Experimental Aspects (M-L. Smoes) Mechanisms of Bio- and Geo-Pattern Formation and Chemical Signal Propagation (P. Ortoleva, J. Chadam, M. El-Badewi, R. Feeney, D. Feinn, S. Haase, R. Larter, E. Merino, A. Strickholm, and S. Schmidt) Section C. Biochemistry Pattern Selection during Morphogenesis (J. Hiernaux and T Erneux) Global Two-Parameter Critical Size Estimates for Symmetry-Breaking Transitions in Planar Multicellular Arrays and in Membranes (A. D. Nazarea) Enzyme Kinetics: Stochastic vs. Deterministic Models (Thomas A. Darden) Section D. Fluctuation Phenomena and Stochastic Theory Inhomogeneous Fluctuations in Reaction-Diffusion Systems (M. Malek Mansour and C. van den Broeck) Noise Induced Nonequilibrium Phase Transitions: The White and Colored Noise Case (Werner Horsthemke) Noise and Switching in the Absorptive Optical Bistability (J. C. Englund, W. C. Schieve, R. F. Gragg, and W. Zurek) Non-Linear Stochastic Equations: A Microscopic Point of View (JosÉ Luis del Rio and Leopoldo S. Garcia-Colin) Noise with Finite Correlation Time and Langevin Equations (M. San Miguel and J. M. Sancho) Theory of Extrema for Fokker-Planck and Master Equation Processes (V. Seshadri, Katja Lindenberg, and Bruce J. West) Application of Linearization Methods to Driven Nonlinear Systems (Adi Bulsara, Katja Lindenberg, and Kurt E. Shuler) Dynamic Behavior of Model Oscillators with Fluctuating Frequency and Fluctuating Driving Force (Katja Lindenberg, V. Seshadri, and Bruce J. West) Anomalous Fluctuations in the Decay of an Unstable Equilibrium State (F de Pasquale, P. Tartaglia, and P. Tombesi)

L. E. Reichl is Professor of Physics at the University of Texas at Austin. W. C. Schieve is Professor Emeritus of Physics at the University of Texas inatAustin.

• Preface List of Authors Section A. Theory of Bifurcation Phenomena in Chemical Systems Bifurcation Analysis of Reaction-Diffusion Equations IV. Size Dependence (Giles Auchmuty) The Influence of Static External Fields on Far-from-Equilibrium Chemical Systems (D. K. Kondepudi) Topological Aspects of Oscillating Chemical Reactions (R. Bruce King) Numerical Exploration of Bifurcating Branches of Solutions to Reaction-Diffusion Equations from Immobilized Enzyme Kinetics (B. Bunow and J. P. Kernevez) Section B. Experimental Properties of Chemical Systems The Ferroin Catalyzed Zhabotinskii System-Experimental Aspects (M-L. Smoes) Mechanisms of Bio- and Geo-Pattern Formation and Chemical Signal Propagation (P. Ortoleva, J. Chadam, M. El-Badewi, R. Feeney, D. Feinn, S. Haase, R. Larter, E. Merino, A. Strickholm, and S. Schmidt) Section C. Biochemistry Pattern Selection during Morphogenesis (J. Hiernaux and T Erneux) Global Two-Parameter Critical Size Estimates for Symmetry-Breaking Transitions in Planar Multicellular Arrays and in Membranes (A. D. Nazarea) Enzyme Kinetics: Stochastic vs. Deterministic Models (Thomas A. Darden) Section D. Fluctuation Phenomena and Stochastic Theory Inhomogeneous Fluctuations in Reaction-Diffusion Systems (M. Malek Mansour and C. van den Broeck) Noise Induced Nonequilibrium Phase Transitions: The White and Colored Noise Case (Werner Horsthemke) Noise and Switching in the Absorptive Optical Bistability (J. C. Englund, W. C. Schieve, R. F. Gragg, and W. Zurek) Non-Linear Stochastic Equations: A Microscopic Point of View (JosÉ Luis del Rio and Leopoldo S. Garcia-Colin) Noise with Finite Correlation Time and Langevin Equations (M. San Miguel and J. M. Sancho) Theory of Extrema for Fokker-Planck and Master Equation Processes (V. Seshadri, Katja Lindenberg, and Bruce J. West) Application of Linearization Methods to Driven Nonlinear Systems (Adi Bulsara, Katja Lindenberg, and Kurt E. Shuler) Dynamic Behavior of Model Oscillators with Fluctuating Frequency and Fluctuating Driving Force (Katja Lindenberg, V. Seshadri, and Bruce J. West) Anomalous Fluctuations in the Decay of an Unstable Equilibrium State (F de Pasquale, P. Tartaglia, and P. Tombesi)

L. E. Reichl is Professor of Physics at the University of Texas at Austin. W. C. Schieve is Professor Emeritus of Physics at the University of Texas inatAustin.

• Preface List of Authors Section A. Theory of Bifurcation Phenomena in Chemical Systems Bifurcation Analysis of Reaction-Diffusion Equations IV. Size Dependence (Giles Auchmuty) The Influence of Static External Fields on Far-from-Equilibrium Chemical Systems (D. K. Kondepudi) Topological Aspects of Oscillating Chemical Reactions (R. Bruce King) Numerical Exploration of Bifurcating Branches of Solutions to Reaction-Diffusion Equations from Immobilized Enzyme Kinetics (B. Bunow and J. P. Kernevez) Section B. Experimental Properties of Chemical Systems The Ferroin Catalyzed Zhabotinskii System-Experimental Aspects (M-L. Smoes) Mechanisms of Bio- and Geo-Pattern Formation and Chemical Signal Propagation (P. Ortoleva, J. Chadam, M. El-Badewi, R. Feeney, D. Feinn, S. Haase, R. Larter, E. Merino, A. Strickholm, and S. Schmidt) Section C. Biochemistry Pattern Selection during Morphogenesis (J. Hiernaux and T Erneux) Global Two-Parameter Critical Size Estimates for Symmetry-Breaking Transitions in Planar Multicellular Arrays and in Membranes (A. D. Nazarea) Enzyme Kinetics: Stochastic vs. Deterministic Models (Thomas A. Darden) Section D. Fluctuation Phenomena and Stochastic Theory Inhomogeneous Fluctuations in Reaction-Diffusion Systems (M. Malek Mansour and C. van den Broeck) Noise Induced Nonequilibrium Phase Transitions: The White and Colored Noise Case (Werner Horsthemke) Noise and Switching in the Absorptive Optical Bistability (J. C. Englund, W. C. Schieve, R. F. Gragg, and W. Zurek) Non-Linear Stochastic Equations: A Microscopic Point of View (JosÉ Luis del Rio and Leopoldo S. Garcia-Colin) Noise with Finite Correlation Time and Langevin Equations (M. San Miguel and J. M. Sancho) Theory of Extrema for Fokker-Planck and Master Equation Processes (V. Seshadri, Katja Lindenberg, and Bruce J. West) Application of Linearization Methods to Driven Nonlinear Systems (Adi Bulsara, Katja Lindenberg, and Kurt E. Shuler) Dynamic Behavior of Model Oscillators with Fluctuating Frequency and Fluctuating Driving Force (Katja Lindenberg, V. Seshadri, and Bruce J. West) Anomalous Fluctuations in the Decay of an Unstable Equilibrium State (F de Pasquale, P. Tartaglia, and P. Tombesi)