Bug: cursor jumps to end of controlled <input> tag when value is modified

controlled_input_bug.js

// Adapted from example code in https://reactjs.org/docs/forms.html
// Original CodePen link: https://codepen.io/gaearon/pen/VmmPgp?editors=0010

class NameForm extends React.Component {
  constructor(props) {
    super(props);
    this.state = {value: 'put_a_space_in_the_middle'};

    this.handleChange = this.handleChange.bind(this);
    this.handleSubmit = this.handleSubmit.bind(this);
  }

  handleChange(event) {
    this.setState({value: event.target.value.replace(/ /g, '_')});
  }

  handleSubmit(event) {
    alert('A name was submitted: ' + this.state.value);
    event.preventDefault();
  }

  render() {
    return (
      <form onSubmit={this.handleSubmit}>
        <p>The &lt;input&gt; component below now converts spaces to underscores.</p>
        <label>
          Name:
          <input type="text" value={this.state.value} onChange={this.handleChange} />
        </label>
        <input type="submit" value="Submit" />
        <p>BUG: if you add a space in the middle of the input, the cursor jumps to the end.</p>
      </form>
    );
  }
}

ReactDOM.render(
  <NameForm />,
  document.getElementById('root')
);