化学自催化混沌反应模型中的耦合作用与混沌同步

选用混沌自催化反应作为子系统,构造了耦合自催化反应系统,研究了耦合变量、耦合系数对混沌动力学行为的影响,给出了不同耦合系数下系统的动力学特征,探讨了耦合作用机制.结果表明,耦合作用能明显地改变子系统的动力学行为,强化系统间的相关性.耦合后的混沌运动受到调整与抑制,耦合强度加大时,呈现出混沌运动轨线的周期化,耦合系数大于临界值,两子系统实现了完全的同步.不同变量的耦合时,影响最大的是第二种变量.对于三种物质均有耦合时,更容易出现混沌的抑制、运动状态的锁相与周期化和混沌的完全同步.     

无标度神经元网络化学突触耦合诱导的依赖于时滞的同步转迁（摘要）

研究表明,神经元体系中化学突触耦合较电耦合更加普遍.本文研究了时滞无标度热敏神经元网络中化学耦合诱导的同步转迁现象.发现,不同延迟时间下有不同形式的同步转迁行为.无时滞情况下,出现从混沌簇放电到簇同步转变;对于较小的延迟时间,从混沌簇放电到峰放电同步;对于较大的延迟时间,则间歇性地出现从混沌簇放电到峰放电的多次同步转迁.这表明,化学突触耦合诱导的同步转迁行为强烈地依赖于时滞大小.这一发现可以帮助人们更好地了解时滞和化学耦合共同作用下神经元的放电活动.     

铂电极BZ反应系双电层稀疏区中的Turing结构

将扩散流作为场函数, 考虑φ电势的空间分布, 建立了铂电极BZ反应系在双电层稀疏区的动力学演化机制, 确立了纳入稀疏区φ电势效应的反应-扩散型演化方程. 采用Boltzmann分布近似, 解决了演化方程中含φ电势的流项的线性化问题; 导出了可在算法上实现的三变量体系线性化算子本征值的解析形式. 分别以静态铂电极BZ反应系双电层稀疏区和对应的纯粹BZ反应系作为参考模型系, 分析了经空间对称性破缺产生Turing结构的参数范围. 数值模拟发现, φ电场的存在使铂电极BZ反应系的输运过程在静态双电层稀疏区趋于电化学平衡时, 在对应的纯粹BZ反应体系中可呈现的Turing结构已趋于消失; 而在电流强度不太大的恒流不可逆铂电极BZ反应体系双电层稀疏区中, 鲜明稳定的Turing结构又重新出现在原参数区间内. 同时, 在静态双电层稀疏区不出现Turing结构的参数范围内也可找到类似的恒流稳定空间结构.     

CSTR中Ferroin催化BZ反应中的倍周期振荡和混沌

Ferroin催化的BZ反应是化学时空斑图研究中最常用的反应体系, 研究该体系时发现了简单倍周期、混合模式倍周期振荡、混沌以及低流速下溴离子选择电极的混合模式振荡, 并用Györgyi和Field两环偶合的BZ反应模型进行数值模拟解释. 该研究为用于光学测定的时空斑图研究提供了从简单振荡到各种复杂振荡的反应介质, 也表明BZ反应复杂振荡与混沌研究可扩展到不同催化剂催化的溴酸盐驱动的非线性反应体系.     

单向耦合Hindmarsh-Rose系统的同步

采用数值模拟方法, 研究了由两个具有不同初始条件单向耦合的Hindmarsh-Rose神经元所组成系统的动力学行为. 研究结果表明, 耦合强度对两个神经元的同步具有重要的影响. 当两个神经元的控制参数取值不同时, 即在驱动系统和响应系统均处于混沌态及驱动系统处于周期振荡态, 响应系统处于混沌态两种情况下, 随耦合强度的增加其放电活动都能从不同步达到相位同步, 最后实现近似完全同步.     

对氨基苯甲酸BZ反应体系分区振荡行为的研究

分区振荡（也被称为双振荡，dual－frequencyoscillation）现象是封闭反应体系中发现的一种较为特殊的振荡现象，FKN机理[1]和OKN机理[2]都不能很好地解释这种振荡行为，Forsterling等曾提出了自由基控制机制[3,4]；Srivastava等则认为高、低频区均为溴控机制[5]．目前，这一问题还没有确切结论．本文报导了对氨基苯甲酸BZ反应体系中的分区振荡行为，并对分区振荡的机理作了一些探讨．1实验以对氨基苯甲酸－KBrO3－H2SO4的振荡反应作为研究体系，反应在带夹会的封闭玻璃反应器中进行，由恒温措恒温；自制Pt电极和216型Ag电极作x作电…     

混沌系统的变量变化率反馈控制方法研究

设计了一种控制连续非线性系统中混沌的新方法--变量变化率脉冲反馈(VRPF)方法.介绍了VRPF方法的控制原理以及反馈系数和脉冲间隔的选择技巧.将此方法应用到BZ反应3D模型系统混沌的控制中,计算机仿真模拟显示,通过恰当地选择反馈系数和脉冲间隔,可以将系统稳定在1p、2p、3p、4p、…、2n×3mp (n、m为整数)这样不同的周期轨道,从而使系统的功率谱也由混沌态时的连续谱转变为具有分立单峰的分立谱.此外,仿真模拟还发现VRPF方法具有极宽的控制域.     

线状铜电极在磷酸溶液中电流混沌振荡的同步行为

研究了恒电位下两个铜线电极在磷酸溶液中的电流混沌振荡行为,通过恒定不同的电位数值,改变单个电极的电流振荡混沌行为,研究了不同混沌间的相互作用.调整线电极间的距离,研究了电极间距对电流振荡行为的影响.实验中两电极的振荡间呈现了复杂的耦合作用,耦合后的频率与耦合前电极原有的频率不同.两电极的混沌电流振荡中呈现出同步、准周期同步和反相同步等现象.电极距离一定时,振荡波形差别很大的两电极的电流容易呈现反相同步和准周期同步,波形差别不大时容易产生同步.强的耦合导致电极间电流振荡的同步,电极距离的加大,电极间电流振荡难以产生同步.对耦合作用机制也进行了探讨.     

光敏性BZ反应的时空动力学

作为研究非线性时空动力学最理想的化学反应体系之一,三联(2,2'-联吡啶)钌(Ⅱ)(Ru(bpy)₃²⁺)为催化剂的Belousov-Zhabotinsky (BZ)振荡反应具有独特的光敏特性并能呈现丰富的时空动力学行为。研究光控BZ反应有助于我们对一系列物理、化学和生命体系中复杂动力学现象的理解。本文综述了不同实验条件下光效应对钌催化BZ反应均相复杂振荡和空间反应扩散化学波的影响, 以及光响应BZ反应与软物质耦合体系的复杂动力学行为,在此基础上介绍光抑制和光诱导反应机理和模型。对光控BZ反应体系存在的问题和发展方向进行了探讨。     

利用比例脉冲控制B-Z反应中混沌的变量选择

自二十世纪七十年代以来 ,混沌现象的研究成为非线性科学中的前沿课题。混沌在其无规律的表面下隐藏着惊人的“秩序”,但在许多情况下 ,混沌属于不利因素 ,因此近年来混沌控制又成为倍受关注的热点 ,出现了各种各样的混沌控制方法。这些混沌控制方法可以分为两大类 ,一类以Ott,Grebogi,Yorke提出的 OGY方法 [1]为代表 ,通过对系统参数实行控制达到混沌控制的目的。另一类以比例脉冲控制法[2 ,3] 为代表 ,由控制系统变量利用系统自身非线性特征实现系统自身反馈达到混沌控制目的。这两类方法各自分别能有效地控制不同特点的混沌系统 ,而比…     

铂电极BZ反应体系的系统动力学分析

在一定的条件下,将铂电极BZ化学反应的六变量高维动力学系约化为三变量体系,同时对该体系进行了全面的系统动力学分析.研究结果表明,通过改变耦合体系的外控参数条件,在将体相保持在均一稳定定态的参数范围内,电极反应相可能进入振荡区,而呈现出电极反应相与体相的动力学行为不一致性.进一步计算出体相处于非振荡状态时,电极反应相产生电化学振荡的外控参数区域.     

Chaos Synchronization in the Belousov—Zhabotinsky Chemical Reaction by Adaptive Control Scheme

The adaptive synchronization sc heme proposed by John and Amritkar was employed into the Belousov-Zhabotinsky（BZ)4-varibale-Montanator model system.By the parameter adjustment,chaos synchroniztion has been obtained ,Through calculating the transient time,the optimal combination of the stiffness constant and damping constant was obtained .Furthermore,the relationships among the transient time,conditional Lyapunov exponents,the stiffiness constant and damping constant were discussed ,Also ,the BZ system with the adaptive synchronization scheme might be used for the communication purposes.     

Dynamics of electrochemical oscillators with electrode size disparity: asymmetrical coupling and anomalous phase synchronization

Experiments are carried out in dual electrode oscillatory Ni electrodissolution in which the two electrodes have different surface areas. The transition to phase synchronization is analyzed as asymmetrical coupling strength, induced by placing a cross resistance between the electrodes, is varied. It is shown that because of nonisochronicity (phase shear, i.e., strong dependence of period on amplitude) of the oscillators, anomalous phase synchronization effects can be observed: advanced/delayed synchronization and, to a lesser extent, frequency difference enhancement. The type of synchronization is strongly affected by the underlying heterogeneities of the oscillators; in the experiments with a slow driver (large surface area) electrode the synchronization is advanced, with a fast driver electrode the synchronization is delayed with respect to symmetrical coupling. The findings thus reveal that the interplay of asymmetrical coupling with the types of inherent heterogeneities plays an important role for the interpretation of size effects in the dynamical behavior of a nonlinear chemical reaction.     

Effect of Different Counterions of the Manganese Salt as Catalyst on the Kinetics of Resorcinol‐Based Belousov–Zhabotinsky Reaction

Kinetic studies on the Belousov–Zhabotinsky (BZ) system with various metal ions as catalysts have been carried out for a long time, but the effect of counteranions associated with the metal ion solution used as the catalyst in the BZ reaction has not been explored. Thus, we have chosen some metal salts as catalysts having the metal ion (Mnⁿ⁺) but with various anions to study the role of different anionic moieties of catalyst on the oscillatory behavior of the resorcinol‐based BZ reaction system. It is found that organic‐type anionic moieties marginalize the role of organic substrates in the reaction system. On the other hand, the inorganic counterions of the catalyst show salting out effects, thereby increasing the ionic strength, which affects the mobility (diffusion) of the ions in our system performed under batch conditions.     

Exploring the dynamics of dimer crossing over a Kramers type potential

We explore the escape rate of a dimer crossing a potential barrier using both analytical and numerical approaches. We find that for small coupling strength k, the barrier hopping can be well approximated by a two step reaction scheme where one monomer hops over the barrier and is then followed by the other. In this regime the escape rate increases with k showing that the cooperativity between monomers enhances the crossing rate. However, in the limit of large coupling strength, applying the method of adiabatic elimination, we find that the escape rate is a decreasing function of k. Thus, we find that the escape rate is a non-monotonic function of the spring constant which is peaked at an optimal coupling strength. Furthermore, in the presence of a weak periodic signal, we show that the system response to the periodic signal is pronounced at a particular spring constant showing the dimer can be transported rapidly across the reaction coordinate in a half period.     

苯并噁嗪/蒙脱土插层体系和苯并噁嗪体系的动态固化行为比较

比较了苯并噁嗪单体(BZ)和插层于蒙脱土层间的苯并噁嗪单体(BZ/MMT)两种体系的动态固化特性.实验发现,经有机化处理的蒙脱土在BZ/MMT体系的固化行为中起着重要的作用,使该体系存在催化聚合和热聚合两类固化单元反应.结果造成两种体系在特征固化温度、固化速率、反应热、反应级数以及表观活化能上存在明显的差别.     

Chaos Synchronization in the Belousov-Zhabotinsky Chemical Reaction by Self-Adaptive Parameter Adjustment Scheme

Employing the self-adaptive parameter adjustment scheme, the chaotic dynamical behaviors in the coupled Belousove-Zhabotinsky-CSTR chemical system were investigated numerically. The confirmation of synchronization is using the criteria of maximum transverse Lyapunov exponent. The results show that when all the variables are involved in the parameter adjustment rule, the chaos synchronization between the response and the target systems were obtain. However, as only some of the variables can be detected easily in the real experiment, there are difficulties in employing this scheme experimentally. Therefore, that scheme to investigate the role of single variable separately were modified. The results show that no chaos synchronization can be obtained when Br- and HBrO2 are used separately, except when Ce4+ and BrMA are used. However, there is no easy way to detect BrMA in the experiment, Ce4+ becomes the unique feasible variable involved in the adjustment role. Besides, the synchronization efficiency of different combinations of stiff constant and damping constants has been studied by means of synchronization-arriving time.     

外噪声作用下可激发系统中的预测同步现象

采用数值模拟方法研究了由2个完全相同的可激发系统,通过单向延迟反馈耦合连接所组成主动-从动系统中的预测同步现象.结果表明在相等的外噪声作用下,当延迟时间和耦合强度在适当的范围内取值时,从动系统发生放电活动时所产生的动作电位能够预测主动系统发生放电活动时所产生的动作电位,即出现了预测同步现象,并且预测时间不可能大于主动神经元的响应时间.     

Coupling effects on energy transduction in coupled polymer chains with perturbation of noise

Noise-assistant transduction was investigated in coupled polymer chains where one subsystem was exposed to environment noise. It was found that coupling could transfer oscillation from one subsystem disturbed by noise to the other not disturbed by noise and play a role of a noise filtering for the other. Then, a sort of coupling-induced synchronization was investigated as a function of noise intensity and coupling strength. In particular, we calculated the minimum coupling strength to reach synchronization and pointed out that noise dominated at small coupling strength, otherwise, coupling dominated.     

Pentanary cross-diffusion in water-in-oil microemulsions loaded with two components of the Belousov-Zhabotinsky reaction

We measure cross-diffusion coefficients in a five-component system, an aerosol OT (AOT) water-in-oil microemulsion loaded with two constituents of the Belousov-Zhabotinsky (BZ) reaction (H(2) O/AOT/BZ1/BZ2/octane). The species BZ1 is either NaBr, an inhibitor of the BZ reaction, or ferroin, a catalyst for the reaction. As species BZ2, we choose Br(2) , an intermediate in the reaction. The cross-diffusion coefficients between BZ1 and BZ2 are found to be negative, which can be understood in terms of complexation between these species. Using a four-variable model for the BZ reaction, we find that the cross-diffusion coefficients measured here can lead to a noticeable shift in the onset of Turing instability in the BZ-AOT system.