SEARCH Articles Figures Tables Airway bifurcations Algebraic equations bifurcations Alveolar duct bifurcations Andronov-Hopf bifurcation Aneurysms carotid bifurcation BIFURCATION PHENOMENON AND MULTI-STABILITY BIFURCATIONS OF DYNAMICAL SYSTEMS Backward bifurcation Basicity Bifurcated hydrogen bonds Behaviour of eigenvalues at Hopf bifurcation Bifurcate Bifurcate Bifurcate link Bifurcated bonds Bifurcated dimer Bifurcated fan Bifurcated fiber bundles Bifurcated fibers Bifurcated geometries Bifurcated hydrogen bonds Bifurcated hydrogen bonds, alkyl Bifurcated hydrogen bonds, alkyl hydroperoxides Bifurcated interactions Bifurcated potential energy surface Bifurcated structure Bifurcating Bifurcating MicroChannel Bifurcating Surfaces One TS, Two Products Bifurcating airway model Bifurcating energy surface Bifurcating point Bifurcating reaction path Bifurcating surfaces Bifurcation Bifurcation Analysis of the Flash Cascade Model Bifurcation Diagrams Stability of Spatial Patterns Bifurcation Multi-laminating Diffusive Mixing Bifurcation Takens-Bogdanov Bifurcation analysis Bifurcation analysis of polymerization Bifurcation analysis of polymerization fronts Bifurcation analysis with uniform curvature Bifurcation and Stability Bifurcation behavior Bifurcation behaviour Bifurcation boundary Bifurcation cascade Bifurcation codimension Bifurcation continuation methods Bifurcation curves Bifurcation dangerous Bifurcation decay modes Bifurcation definition Bifurcation diagram Bifurcation diagram adiabatic case Bifurcation diagram global Bifurcation diagram, oscillatory Bifurcation double-zero Bifurcation equations Bifurcation factor Bifurcation fivefold Bifurcation for general curvature variation Bifurcation forward Bifurcation from a Simple Eigenvalue Bifurcation general theory Bifurcation homoclinic Bifurcation imperfect Bifurcation in equilibrium shape Bifurcation infinite-period Bifurcation inverted Bifurcation line Bifurcation mechanisms Bifurcation mechanisms saddle-node bifurcations Bifurcation mechanisms systems Bifurcation of Collective Oscillations Bifurcation of a homoclinic loop Bifurcation of a limit cycle Bifurcation of a separatrix loop Bifurcation of an equilibrium state with one zero exponent Bifurcation of codimension Bifurcation of codimension-one Bifurcation of codimension-two Bifurcation of periodic orbits Bifurcation of periodic orbits with multiplier Bifurcation of resonant periodic orbit Bifurcation of the fixed point Bifurcation of the homoclinic Bifurcation oscillatory Bifurcation parameter Bifurcation parameter value Bifurcation parameters, computational model Bifurcation period-doubling Bifurcation phenomenon Bifurcation pitchfork Bifurcation point Bifurcation point, dimers Bifurcation point, reaction coordinate Bifurcation problems Bifurcation reaction paths Bifurcation reactor Bifurcation rearrangement Bifurcation regions, reaction paths Bifurcation results Bifurcation saddle loop Bifurcation saddle-node Bifurcation scenario Bifurcation set Bifurcation stability condition Bifurcation static Bifurcation stationary Bifurcation stenting Bifurcation structure Bifurcation subcritical Bifurcation subcritical Hopf Bifurcation subcritical antipitchfork Bifurcation subcritical pitchfork Bifurcation supercritical Bifurcation supercritical Hopf Bifurcation supercritical pitchfork Bifurcation surface Bifurcation surface of codimension Bifurcation symmetry-breaking Bifurcation tangent Bifurcation tertiary Bifurcation theory Bifurcation theory dissipative structures Bifurcation turning-point Bifurcation types Bifurcation unfolding Bifurcation unusual Bifurcation value Bifurcation variable Bifurcation zero-eigenvalue Bifurcation, femoral Bifurcations (explosions) of limit sets Bifurcations Revisited Bifurcations and Stability Analysis Bifurcations and chaos Bifurcations chiral forms Bifurcations discussion Bifurcations dynamical model Bifurcations introduction Bifurcations multiple Bifurcations of a separatrix loop with zero saddle value Bifurcations primary equations Bifurcations, deposition Bifurcations, potential energy surfaces Carotid bifurcation Catalytic bifurcation step Catastrophe Hopf bifurcations Catastrophe saddle node bifurcation Catastrophe transcritical bifurcation Chemical evolution bifurcations Codimension two bifurcations Codimensional-One Bifurcations Combined Static and Dynamic Bifurcation Behavior of Industrial FCC Units Composites Crack bifurcation Coordinates natural bifurcation Core valence bifurcation index Coupling states bifurcation Crack bifurcation Cusp bifurcation Dynamic bifurcation Electron bifurcation, cytochrome Electron bifurcation, cytochrome complex Electron localization function bifurcation analysis Electronic structure bifurcations Extent of reaction and bifurcation diagrams Fault surface bifurcation Fermi bifurcation Flip bifurcation Flow Bifurcation in MicroChannel Flux-Induced Instability and Bifurcations of Kirkendall Planes Fold bifurcation Global bifurcations Global bifurcations of cycles Global saddle-node bifurcation Gluing bifurcation HOPFBIF - The Hopf Bifurcation HYSTERESIS BIFURCATION THEORY Hamiltonian systems bifurcation Homogeneous bifurcations, nonequilibrium Hopf bifurcation Hopf bifurcation analysis Hopf bifurcation analysis with Arrhenius model birth and growth of oscillations Hopf bifurcation condition Hopf bifurcation cycle modeling Hopf bifurcation first experience Hopf bifurcation for n variables Hopf bifurcation instability Hopf bifurcation plots Hopf bifurcation points Hopf bifurcation points (transversality) Hopf bifurcation, degenerate Hydrogen bifurcated Inclination-flip bifurcation Internal bifurcation Intracranial carotid bifurcation Intramolecular dynamics bifurcations Limit cycles Hopf bifurcation Limit cycles global bifurcations Linear theory and type of bifurcation Local bifurcations Loci, Hopf bifurcation Lyapunov exponents bifurcated Microfluidic bifurcation Middle bifurcation Molecular structure bifurcation mechanism Multi bifurcation Nuclear wavepacket bifurcation as observed with time-resolved photoelectron spectroscopy Orbit-flip bifurcation Orbit-flip homoclinic bifurcation Oscillations bifurcation point Oscillatory behaviour Hopf bifurcation analysis Oscillatory reactions bifurcation analysis Oscillatory reactions bifurcation diagrams Path bifurcation Path bifurcation dynamics effect Period-doubling bifurcation (flip Periodic orbits bifurcating Phase space bifurcations Pitch-fork bifurcation Pitchfork-Hopf bifurcation Planar bifurcation Poincare-Andronov—Hopf bifurcation Potential energy surfaces bifurcations, transition states Primary bifurcation Primary bifurcation parameters Proton bifurcation, hydrogen bonds Qualitatively different bifurcation diagrams for a reactive flash Quantum mechanics bifurcation Reaction bifurcation/branching Reaction mechanisms bifurcations, transition states Reaction paths, potential energy surfaces bifurcations Reaction pathway bifurcated Reaction rates bifurcation points Reactor 11 Bifurcation-distributive Chip Micro Mixer Resonance condition bifurcation Reverse period-doubling bifurcation Saddle bifurcated Saddle bifurcates Saddle connection bifurcation Saddle-node bifurcation on a limit Saddle-node bifurcation on a limit cycle Saddle-node bifurcations systems Safe bifurcation Secondary bifurcation Sequential bifurcation Simulation and Bifurcation Results Discussion for two Industrial FCC Units Size distribution bifurcations Soft bifurcation Sources of Multiplicity and Bifurcation Stability of stationary state bifurcations to periodic solutions Static Bifurcation in Industrial FCC Units Steady-state bifurcation Structural change bifurcation mechanism Subcritical Andronov-Hopf bifurcation Subharmonic bifurcation Symmetrical and Bifurcated Hydrogen Bonds The Conflict and Bifurcation Mechanisms of Structural Change The Hopf Bifurcation Three-Center (Bifurcated) Bonds in Proteins Transcritical bifurcation Transition state theory bifurcations Tubular, bifurcated structure Tubular, bifurcated structure cross-section geometry Tubular, bifurcated structure knitting Tubular, bifurcated structure production process Turing bifurcation Turing bifurcation, instability Typical types of bifurcation Wave bifurcation Wavefunctions bifurcation Wavepacket bifurcation